Orbital Mechanics buffs Help!

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I need some help on a little exercise and I just know that one of you geeks can have the answer in less time than it takes to write this blog.

A habitable planet has been located that is 800 light years from earth. The Colonisaton ship can accelerate at 3 earth gravities. The exhaust gas velocity is about 97% of the speed of light. Facilities within the ship will hold felt gravity at 1.1 Gs. How long will it take to get there?

40 years ago, I could have done this problem with a pencil. That capability is long gone off into the ether. I suspect that there is a computer program around that can do it in about .1 seconds.

Can someone kindly give me the answer? I suspect about 1000 years.

Much peace

Khadijah

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